How Can I Perform the Inverse Laplace Transformation for U(s,t)?

[germana2006]

Help me please with the next Laplace inverse transformation:

U(s,t)=U(s,0)*exp[s^2*t]

Transformation from U(s,t) to u(x,t).
I don't know if this inverse transformation exit or not.

Thank you very much.

 

[dextercioby]

How does U(s,0) look like as a function ?

Daniel.

 

[germana2006]

U(s,0) come from the boundary conditions, u(x,t=0)=u(x)=deltadirac(x)

 

[riverboat]

You can fix U(s,0), but the e hat a singularity in infinity.